{
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 隐藏层\n",
    "多层感知机在单层神经网络的基础上引入了一到多个隐藏层（hidden layer）。隐藏层位于输入层和输出层之间。\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 为啥需要激活函数\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 激活函数\n",
    "上述问题的根源在于全连接层只是对数据做仿射变换（affine transformation），而多个仿射变换的叠加仍然是一个仿射变换。解决问题的一个方法是引入非线性变换，例如对隐藏变量使用按元素运算的非线性函数进行变换，然后再作为下一个全连接层的输入。这个非线性函数被称为激活函数（activation function）。下面我们介绍几个常用的激活函数。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import torch\n",
    "import numpy as np\n",
    "import matplotlib.pylab as plt\n",
    "from IPython import display\n",
    "import sys\n",
    "\n",
    "def use_svg_display():\n",
    "    display.set_matplotlib_formats('svg') # 用矢量图显示\n",
    "\n",
    "def set_figsize(figsize=(3.5, 2.5)):\n",
    "    use_svg_display()\n",
    "    plt.rcParams['figure.figsize'] = figsize # 设置图的尺寸\n",
    "    \n",
    "def xyplot(x_vals, y_vals, name):\n",
    "    set_figsize(figsize=(5, 2.5))\n",
    "    # detach方法将参数从网络中隔离开，不参与参数更新\n",
    "    plt.plot(x_vals.detach().numpy(), y_vals.detach().numpy())\n",
    "    plt.xlabel('x')\n",
    "    plt.ylabel(name + '(x)')"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ReLU 函数\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
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     "metadata": {
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   "source": [
    "x = torch.arange(-8.0, 8.0, 0.1, requires_grad=True)\n",
    "y = x.relu()\n",
    "xyplot(x, y, 'relu')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
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       "  </g>\r\n",
       " </g>\r\n",
       " <defs>\r\n",
       "  <clipPath id=\"p60fd523257\">\r\n",
       "   <rect height=\"135.9\" width=\"279\" x=\"43.78125\" y=\"7.2\"/>\r\n",
       "  </clipPath>\r\n",
       " </defs>\r\n",
       "</svg>\r\n"
      ],
      "text/plain": [
       "<Figure size 360x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "y.sum().backward()\n",
    "xyplot(x, x.grad, 'grad of relu')"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## sigmoid函数\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
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    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
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       "  </clipPath>\r\n",
       " </defs>\r\n",
       "</svg>\r\n"
      ],
      "text/plain": [
       "<Figure size 360x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x.grad.zero_() # 记得将前面算的梯度清零\n",
    "y.sum().backward()\n",
    "xyplot(x, x.grad, 'grad of sigmoid')"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## tanh函数\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "L 0 0 \r\n",
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       "    <g id=\"xtick_1\">\r\n",
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 多层感知机\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "yczlab_3.6",
   "language": "python",
   "name": "yczlab_python3.6"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
